Write an equation for the line in standard form
Answer:
The equation of the line in standard form is y = -1/2·x - 3
Step-by-step explanation:
From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;
(-4, -1), (-2, -2), and (2, -4)
The slope, m, of the graph is given as follow;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, by substituting the values of the coordinates for two known points, we have;
[tex]Slope, \, m =\dfrac{(-4) -(-1)}{2-(-4)} = \dfrac{(-4) + 1}{2+4 } = \dfrac{-3}{6} = -\dfrac{1}{2}[/tex]
The slope of the graph, m = -1/2
The equation of the graph on point and slope form is given as follows;
y - (-4) = -1/2(x - 2)
y = -x/2 + 1 - 4 = -x/2 - 3
The equation of the line in standard form, y = m·x + c is y = -1/2·x - 3.
Four friends share 10 fruit bars equally. How many fruit bars does each friend get?
Answer:
2.5
Step-by-step explanation:
10 / 4 = 2.5
A recipe for grape Gatorade calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
1. How much sparkling water would you need to mix with 9 quarts of grape juice?
(Please help)
Answer: 3 1/2
Step-by-step explanation:
Yes
Answer:3 1/2
Step-by-step explanation:
Complete the sentences to explain how to multiply 4.56 x 1,000
Answer 4560
Step-by-step explanation:
Take 1,000 over 4.56 and mutiply 6 times all the zeros wich gets
Take 6 times 1 and thats 6
And repeat that until you run out of dights which in this case is just 4.56
find the value of x in each of the given triangles.
Answer:
7.5
Step-by-step explanation:
10x + 8x + 6x = 180°
24x = 180°
x = 180°÷24
× = 7.5
HOPE IT HELPS YOU.
HOPE IT HELPS YOU.
HOPE IT HELPS YOU.
100 POINTS! SOLVE FOR X. PIC ATTACHED. Random answers will be reported.
Answer:
x = 29Step-by-step explanation:
The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding
Corresponding angles sum to 180
(2x - 10) + (4x + 16) = 1806x + 6 = 1806x = 174x = 174/6x = 29Select the equation that is true.
Answer:
you didnt attach anything
Step-by-step explanation:
Walking Robert walks 7 blocks east from his home and arrives at his favorite restaurant. When he arrives, he discovers that he dropped his wallet along the way. He retraces his steps for 5 blocks until he finds his wallet. An expression for how many blocks east Robert is from his home after finding his wallet is the sum 7+(−5).
Answer:
2 block east from home
Step-by-step explanation:
Given an expression for how many blocks east Robert is from his home after finding his wallet as the sum 7+(−5),
Simplifying the given expression
7+(-5) = 7-5 (note that the product of a plus and minus sign will give a minus sign)
7-5 = 2
Hence Robert will be 2 block east from home
What would be the new set of numbers if the Scale Factor was 2? 3:4:5:6
Answer:
6:8:10:12
Step-by-step explanation:
Scale factor of 2-
3:4:5:6
multiply each number by 2
6:8:10:12
List 4 true angle facts about the illustration created by
AD intersects FK at point M.
Suppose that a person's peak blood alcohol level is0.04 (grams per 100 mL) and that this level decreases by 20% each hour.
Answer:
Step-by-step explanation:
incomplete question
I honestly don’t understand this. Can someone explain/help me with it?
Answer:
2 - 7 x
Step-by-step explanation:
what is the slope of the line with the following equation? (y-3)= -4(x-5)
Answer:
slope = - 4
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 3 = - 4(x - 5) ← is in point- slope form
with slope m = - 4
Answer:
-4
Step-by-step explanation:
First express it in the form of y=mx+b where m is the slope and b is the y-intercept
y-3=-4x+20
y=-4x+20+3
y=-4x+23 then m=-4 which is the slope
expand and simplify (x-4)(x-1)
Step-by-step explanation:
(x - 4)(x - 1)
= x² - x - 4x + 4
= x² - 5x + 4.
Answer:
[tex]\huge(x - 4)(x - 1) \\ \huge= {x}^{2} - x - 4x + 4 \\ \huge = {x}^{2} - 5x + 4[/tex]
(x^2-5x+4) is the right answer.Find the unknown value .
45%=54/⬛️
Answer:
12
Step-by-step explanation:
54/12=4.5 then move the decimal once
plzzzzzz i will give u a thank u and 5 stars
Answer:
the answer is 440 square inches.
you just have to multiply all the numbers.
Answer:
B. 440 square inches
Step-by-step explanation:
all you have to do multiply 5x8x11 = 440
Mr. Tang gives a math test worth 90 points that contain 25 questions. Multiple-choice questions are worth 3 points and word problems are worth 4 points. How many of each type of question are there?
Answer:
m=10
w=15
Step-by-step explanation:
m + w = 25
3m + 4w = 90
Let's do substitution, first by solving the first equation for m.
m = 25 - w
Substitute!
3(25 - w) + 4w = 90
75 - 3w + 4w = 90
w = 15
m = 25 - 15 = 10
Convert 4pi/5 to degrees.
Answer:
To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians. Cancel the common factor of π .
Answer:
144∘
Step-by-step explanation:
4π5⋅180∘π=144∘
Miguel designs a square garden. Each side length is 3x + 5. Write an expression to find the perimeter of Miguel’s garden.
Answer:
12x+20
Step-by-step explanation:
Perimeter of a garden = 4s, s being the length of the side
In this case, s = 3x+5
substitute the equation
4(3x+5)
=12x+20
11 (9+ d)
simplify
help me pleas
Answer:
it issss 99+11d :)
Step-by-step explanation:
hope I helped
Answer:
99 + 11d
Step-by-step explanation:
11(9+d)
distribute the 11 into the ( )
99 + 11d
Hope this Helps!!!
How many solutions does this system have?
y = 5 x minus 1. y = negative 3 x + 7.
no solutions
one unique solution
two solutions
an infinite number of solutions
Answer:
One
Step-by-step explanation:
There will be one unique solution of the equation y = 5x - 1 and y = 3x + 7. The correct option is B.
What is a system of equations?A finite collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized.
A linear equation can only have one unique solution, which is a location at which the LHS and RHS of the equation are equal. There is only ever one solution to a linear equation with one variable.
y = 5x - 1
y = 3x + 7
5x - 1 = 3x + 7
2x = 8
x = 4
y = 19
Therefore, there will be one unique solution of the equation y = 5x - 1 and y = 3x + 7.
To know more about the system of equations follow
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Cpm homework 8.1.1 problems 8-5, 8-6, 8-7, 8-9 I can’t find the answers nowhere and it’s so hard I need to show answers.
The solutions are,
8-6a. 110
8-6b. 20
8-6c. 48
8-6d. 108
8-7 C and H are not polygon, the rest are all polygon
The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.
What is Area ?Area is the space occupied by a two dimensional object,
The area and perimeter of the given shape can be determined by dividing it into basic shapes.
here, we have,
The area and the perimeter of the shape given
= Area of the rectangle +Area of upper triangle - Area of two small triangles at the bottom
Area of rectangle = 5 mi * 9 mi = 45 sq.mi
Area of upper Triangle = (1/2) *9*3 = 27/2 sq.mi
Area of small Triangle = (1/2) * 3*6 = 9 sq.mi
Area of other small Triangle = (1/2)*3*3 = 9/2 sq.mi
Area of the figure = 45 +13.5 -9-4.5
Area of the figure = 45 sq.mi
Similarly for Perimeter = Perimeter of the rectangle +Perimeter of upper triangle -Perimeter of two small triangles at the bottom
Perimeter = 28 -(3+6+6.708) -(3+3+4.2426) +(3+9+9.486
Perimeter = 23.5354 mi
Therefore , The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.
To know more about Area
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Find the value of "c". 4c + 18 = 74 *
[tex]4c \: + 18 = 74[/tex]
[tex] \implies \: 4c = 74 - 18[/tex]
[tex] \implies \: 4c = 56[/tex]
[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]
[tex] \implies \: c = 14[/tex]
The value of c is 14 .
Answer:
14
Step-by-step explanation:
move all terms that don't contain c then solve.
The shadow of a building is 72 feet long. At the same time, John, who is 5 feet tall, casts a shadow that's 6 feet long. How tall is the building?
Answer:82feet tall
Step-by-step explanation:
please help for bainlest
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4} -\frac{1}{3}[/tex]
Find the common denominator and multiply each side by that number
[tex]\frac{9}{12} -\frac{4}{12}[/tex]
[tex]\frac{5}{12}[/tex]
For bolded part in explanation: 4·3=12 3·3=9
3·4=12 1·4=4
k - 873 = -695
What is the answer
Answer:
k= -1,568
Step-by-step explanation:
I am pretty sure this is the answer if not I am soo sorry
Answer:
178 is the answer......
Find the length of each segment write your answer in simplest radical form. I NEED HELP ASAP
Answer:
1. 5
2. [tex]\sqrt{85}[/tex]
3. [tex]\sqrt{26}[/tex]
Step-by-step explanation:
1. just count the units: 5 units
2. Find the slope = rise/run = -7/6
you now have a right triangle, one side is 7 units (from the rise), and the other is 6 units (from the run)
use the pythagorean theorem to find the hypotenuse.
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]7^{2} + 6^{2} = c^{2}[/tex]
49 + 36 = [tex]c^{2}[/tex]
85 = [tex]c^{2}[/tex]
[tex]\sqrt{85} = \sqrt{ c^{2}[/tex]
[tex]\sqrt{85} = c[/tex]
Simplify the radical, but [tex]\sqrt{85}[/tex] is farthest that it can go, so that is the answer.
3. same process as 2
slope = -1/5
[tex]1^{2} + 5^{2} = c^{2}[/tex]
1 + 25 = [tex]c^{2}[/tex]
26 = [tex]c^{2}[/tex]
[tex]\sqrt{26} = c[/tex]
That is the farthest it can go, so that will be the answer.
Look at the image bel9w
Answer:
it's your answer
Step-by-step explanation:
60+5(6÷2)
60+30÷10
60+3
63
18+(10-6)square
18+(100-36)
18+64
82
When factored completely, x3+ 3x2 - 4x-12 equals?
Answer:
(x - 2) (x + 2) (x + 3)
Step-by-step explanation:
Dont know the full thing but hope some of this helps!
Answer:
(x - 2) (x + 2) (x + 3)
Step-by-step explanation:
help me please quickly
Answer:
(1) 4
Step-by-step explanation:
Isolate x.
[tex]\frac{x-2}{3}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{5}{6}[/tex]
[tex]\frac{x-2}{3}[/tex] = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex]
[tex]\frac{x-2}{3}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]\frac{x-2}{3}[/tex] × 3 = [tex]\frac{2}{3}[/tex] × 3
x - 2 = 2
x = 2 + 2
x = 4